Browse real student projects, abstracts, and awards.
ISEF · 2026
Mathematics
Urban accessibility optimization is a pressing challenge for sustainable urban development. Classical graph-theoretical methods, such as the Steiner tree problem, provide a framework for con…
ISEF · 2026
Mathematics
The theory of isogonal cubics is a powerful tool in proving the relations of angles. A part of the theory is deduced from Newton's theorems on conics. It is known that Newton's theorems can…
ISEF · 2026
Mathematics
Modern financial markets are complex, interconnected systems where localized stress can amplify into system-wide instability. Traditional risk measures, such as volatility indices, quantify…
ISEF · 2026
Mathematics
An equation f(x)=a, where f is a complex meromorphic function and a is a parameter, is solvable in elementary functions if the inverse map x=f^{-1}(a) can be expressed as a finite compositio…
ISEF · 2026
Mathematics
This project focuses on the Repelling Propellers Problem, an unsolved problem proposed by Professor James Propp. The question investigates how same-sign, equally charged/spaced points behave…
ISEF · 2026
Mathematics
This paper investigates invariants for distinguishing virtual knots. The existing H_MJ polynomial suffers from a structural weakness: when its base polynomial evaluates to zero, essential cr…
ISEF · 2026
Mathematics
Cryptographic systems securing global communications depend on computationally hard mathematical problems. Yet, the divisibility structure of combinatorial objects like Pascal’s Triangle rem…
ISEF · 2026
Mathematics
Airlines have increasingly adopted flexible refund policies that allow passengers to cancel tickets in exchange for time-limited travel credits. While these policies reduce customer risk, th…
ISEF · 2026
Mathematics
Understanding interactions between the spread of multiple pathogens during an epidemic is crucial to assessing the severity of infections in living communities. I created two novel Multiplex…
ISEF · 2025
Mathematics
High-dimensional data is often difficult to analyze because of the exponential growth of the size of the space in which the data lives as the dimension increases. One example of high-dimensi…
ISEF · 2025
Mathematics
In this study, I present a novel approach for model compression to reduce the size of neural network models. In recent years, with the rise of LLMs such as ChatGPT, deep learning models have…
ISEF · 2025
Mathematics
How likely is it that we are one of the luckiest among many evolutionary possibilities? The NK model, a mathematical exemplar describing Wright's fitness landscapes, has provided great insig…
ISEF · 2025
Mathematics
This study delves into the computation and classification of combinatorial invariants associated with stable curves in genus 4. The work builds upon Zhang's decomposition formula, emphasizin…
ISEF · 2025
Mathematics
The search for a perfect tuning system for music has been a long-standing debate among musical theorists. There is a close relationship between the theory of musical scales and the frequency…
ISEF · 2025
Mathematics
Due to the grave danger that epidemics hold to our health and way of life, there has always been a dire need for models that predict the onset and severity of an epidemic. This is emphasized…
ISEF · 2025
Mathematics
Fractals are self-similar shapes that appear in nature and can produce complex structures by replicating the same pattern across several scales. While fractals have often been explored in vi…
ISEF · 2025
Mathematics
I present a new method for enhancing symbolic regression for differential equations via dimensional analysis, specifically Ipsens' and Buckingham Pi methods. Since symbolic regression often…
ISEF · 2025
Mathematics
The concept of fractional order derivatives, where the order s is not constrained to nonnegative integers, has long been a subject of significant interest. Various definitions, such as the R…
ISEF · 2025
Mathematics
This project investigates a scenario in which a group of houses is on fire, prompting the fire department to deploy helicopters. Each dispatch extinguishes the target house's fire, with each…
ISEF · 2025
Mathematics
This study is from 2023 IMO P5: “A Japanese triangle consists of 1+2+...+n circles arranged in an equilateral triangular shape, with each i th row containing exactly i circles, one of which…
ISEF · 2025
Mathematics
Amyotrophic Lateral Sclerosis (ALS), Parkinson’s disease, and Alzheimer’s disease are all Neuro degenerative disorders, affecting millions worldwide, with no known cure despite ongoing resea…
ISEF · 2025
Mathematics
Federated Learning (FL) has emerged as an innovative and critical machine learning (ML) framework for addressing data privacy and security concerns in training ML models. Unlike traditional…
ISEF · 2025
Mathematics
The occurrence of Pi in the Mandelbrot set is a phenomenon which has been known since its discovery in 1991. It has enjoyed great popularity among mathematicians ever since, even appearing o…
ISEF · 2025
Mathematics
Generating all possible Feynman diagrams is crucial in quantum field theory for computing interaction amplitudes. In scalar phi-4 theory, characterized by four-point interaction vertices, th…
ISEF · 2025
Mathematics
Linear systems of equations are fundamental for scientific and engineering projects. Yet, traditional methods of solving linear systems struggle with scalability(speed) , instability, and ar…
ISEF · 2025
Mathematics
Atrial fibrillation (AFib) is an arrhythmia that can lead to serious health complications. Chaos theory, particularly recurrence matrices, can help distinguish between normal (SR), pre-arrhy…
ISEF · 2025
Mathematics
In traditional Sudoku, players are tasked with filling a 9x9 board with the numbers 1 through 9, with each number appearing once and not repeating in each column, row, and 3x3 subgrid. In Ki…
ISEF · 2025
Mathematics
I chose to investigate knot link surfaces in the field of topology/knot theory because it seemed interesting and I saw a similar thing knot surfaces discussed. The question is can a surface…
ISEF · 2025
Mathematics
Make24 is a classic game where players compete to be the fastest to get to 24 using 4 integers between 1 and 10 inclusive. In the generalised version of this game, one is given k not necessa…
ISEF · 2025
Mathematics
Clinical trials often utilize composite endpoints to provide a comprehensive evaluation of a treatment’s effects by combining multiple related outcomes into a single measure. While tradition…